Ch 4.1-4.3 QUIZ

k dx

kx + C

/ kf(x) dx

k / f(x) dx

[f(x) ± g(x)] dx

/ f(x) dx ± / g(x) dx

xⁿ dx

xⁿ⁺¹ / (n+1) + C , n ≠ -1

cos x dx

sin x + C

sin x dx

-cos x + C

sec²x dx

tan x + C

sec x tan x dx

sec x + C

csc²x dx

-cot x + C

csc x cot x dx

-csc x + C

Σ c

cn

Σ i

n(n+1) / 2

Σ i²

n(n + 1)(2n + 1) / 6

Σ i³

n²(n + 1)² / 4

Area Under a Curve

lim_n→∞Σ f(C_i)Δx

How do we find △x?

△x (b - a) / n, where [a, b] is the interval.